Let $X\sim N(\mu,\sigma^2)$ where both unknown. Test hypothesis:

1

If $X$ follows geometric distribution, then: $P(X\ge j+k|X\ge j)=$

Topic: AMU MCA 2021

2

If $g$ is convex and $X$ is random variable, then:

Topic: AMU MCA 2021

3

Given: $P(A)=\frac13$ $P(B)=\frac14$ $P(A\cup B)=\frac{11}{12}$ Find $P(B|A)$

Topic: AMU MCA 2021

4

First four moments about 5 are: $2,20,40,50$ Find S.D.

Topic: AMU MCA 2021

5

Given regression equations: $8X-10Y+66=0$ $40X-18Y=214$ Find correlation coefficient $r$.

Topic: AMU MCA 2021

6

If $X$ is the number of heads obtained in four tosses of a balanced coin. Define $ Y=\dfrac{1}{1+X} $ Find $P\left(Y=…

Topic: AMU MCA 2021

7

For a normal distribution, the coefficient of Kurtosis $\beta_2$ and $\gamma_2$ are:

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8

If the mean and variance of a binomial variate $X$ are 8 and 4 respectively, then $P(X

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9

Let $E(X)=\mu$, $Var(X)=9$. Smallest $m$ such that $P(|X-\mu|

Topic: AMU MCA 2021

10

If $X_1,\dots,X_n$ are Bernoulli with probability $p$, then constant estimate of $p(1-p)$ is

Topic: AMU MCA 2021

1

Bowley’s coefficient of skewness is based on

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2

If a constant value 5 is subtracted from each observation of a set, the variance is

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3

Census survey is free from

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4

The skewness in a binomial distribution will be zero, if

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5

If experimental material is homogeneous, then suitable design is

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6

A particle of mass 2 kg is moving such that its position is given by $P(t)=5\hat{i}-2t^2\hat{j}$ Find angular momentu…

Topic: AMU MCA 2021

7

Energy of unstable particle = $100,mc^2$ Lifetime in rest frame = $10^{-8}$ s Distance travelled in lab frame ≈ ?

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8

If electrostatic potential $\phi=K(x^2+y^2+z^2)$ Find charge density.

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9

A resistor (3Ω), inductor (100 μH) and capacitor (140 mF) are connected in series to an a.c. source$E = 282\sin(100t)$.…

Topic: AMU MCA 2021

10

The refracted ray is completely polarized when angle of incidence is $60^\circ$. Find velocity of light in glass.

Topic: AMU MCA 2021